Math 465/565 - Numerical Analysis
Dr. Radu C. Cascaval
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Syllabus
Homework
Exams
Lecture Notes
Codes
Blackboard
Notes
Lecture 1
Tue, Aug 27
Introduction
Lecture 2
Thu, Aug 29
Root Finding
Tue, Sep 3
Labor Day - No classes
Lecture 3
Thu, Sep 5
Newton's Method. Fixed Point Iterations. Convergence
Lecture 4
Tue, Sep 10
Floating Point Arithmetic
Lecture 5
Thu, Sept12
Round-off errors
Lecture 6
Tue, Sep 17
Conditioning and Stability
Lecture 7
Thu, Sep 19
Solving Linear Systems
Lecture 8
Tue, Sep 24
Conditioning Linear Systems
Lecture 9
Thu, Sep 26
Backward stability
Lecture 10
Tue, Oct 1
Least Square Problems. Curve Fitting
Lecture 11
Thu, Oct 3
QR Decomposition. Polynomial Interpolation
Lecture 12
Tue, Oct 8
Newton Interpolation. Divided Difefrences
Lecture 13
Thu, Oct 10
Error Estimation and Chebyshev Points
Tue, Oct 15
Exam 1
Lecture 14
Thu, Oct 17
Piecewise Polynomial Interpolation
Lecture 15
Tue, Oct 22
Spline Interpolation
Lecture 16
Thu, Oct 24
Numerical Differentiation. Richardson Extrapolation
Lecture 17
Tue, Oct 29
Numerical Integration. Newton-Cotes Scheme
Lecture 18
Thu, Oct 31
Gaussian Quadrature. Romberg Integration
Lecture 19
Tue, Nov 5
Numerical Solutions of ODEs
Lecture 20
Thu, Nov 7
Runke-Kutta Methods
Lecture 21
Tue, Nov 12
Multi-step Methods
Lecture 22
Thu, Nov 14
Review for Exam 3
Lecture 23
Tue, Nov 19
Iterative Methods for Linear Systems
Lecture 24
Thu, Nov 21
Iterative Methods. Eigenvalue Computation
Lecture 25
Tue, Nov 26
Inverse Power Method. QR Method
Thu, Nov 28
Thanksgiving (No class)
Lecture 26
Tue, Dec 3
Conjugate Gradient Method
Lecture 27
Thu, Dec 5
Numerical Solutions to PDEs
Lecture 28
Tue, Dec 10
Numerical Solutions (Cont.)
Lecture 29
Thu, Dec 12
Final Remarks